<ol class="i-list"><li><div class="list-item-paragraph">Given that the roots of the equation $5{{x}^{2}}-x=k+3$ differ by $3$, find the value of $k$.</div></li><li><div class="list-item-paragraph">Find the possible values of $p$, given that the roots of the equation ${{x}^{2}}+px+3=0$ have a difference of $2$.</div></li></ol>

Given that the roots of the equation $5{{x}^{2}}-x=k+3$ differ by $3$, find the value of $k$.

Find the possible values of $p$, given that the roots of the equation ${{x}^{2}}+px+3=0$ have a difference of $2$.

Quadratic Equations and Inequalities - Sum and Product of Roots

Question 76c9b37d